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Stabilité de la Cohomologie LP au Voisinage de 2 pour les Espaces Localement Symétriques

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Abstract

We give a sufficient condition for stability around 2 of Lp cohomology of a system over locally symmetric space.

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References

  1. Bakry, D.: Etude des transformées de Riesz dans les variétés riemanniennes à courbure minorées, in Séminaire de Proba. Strasbourg XXI, Lecture Notes in Mathematics, Vol. 1247, Springer-Verlag, Berlin, pp. 137-173.

  2. Barbasch, D. et Moscovici, H.: L 2 index and the Selberg trace formula, J. Funct. Anal. 53(1983), 151-201.

    Google Scholar 

  3. Borel, A. et Casselman, W.: L 2 cohomology of locally symmetric manifold of finite volume, Duke Math. J. 50(1983), 625-647.

    Google Scholar 

  4. Cheng, S. Y., Li, P. et Yau, S. T.: On the upper estimate of the heat kernel of a complete Riemannian manifold, Amer. J. Math. 103(2) (1981), 1021-1063.

    Google Scholar 

  5. Donnelly, H.: Eigenforms of the Laplacian on complete Riemannian manifolds, Comm. Partial Differential Equations(1984), 1299-1319.

  6. Matsushima, Y. et Murakami, S.: On vector bundle valued harmonic forms on symmetric Riemannian manifolds, Annals of Math. 78(1963), 365-416.

    Google Scholar 

  7. Muller, W.: Manifolds with Coups of Rank One, Lecture Notes in Mathematics, Vol. 1244, Springer-Verlag, Berlin.

  8. Robinson, D. W.: Elliptic Operators and Lie Groups, Oxford Mathematical Monographs, Oxford University Press, Oxford.

  9. Saper, L.: L 2 cohomology and intersection homology of certain varieties with isolated singularities, Invent. Math. 82(1985), 207-255.

    Google Scholar 

  10. Saper, L. and Stern, M.: L 2 cohomology and arithmetic varieties, Annals of Math. 132(1990), 1-69.

    Google Scholar 

  11. Stein, E. M.: Topics in Harmonic Analysis Related to the Littlewood-Paley Theory, Annals of Mathematics Studies, Vol. 69, Princeton University Press, Princeton, NJ, 1970.

    Google Scholar 

  12. Zucker, S.: L p cohomology and Satake compactifications, in Prospects in Complex Geometry, Lecture Notes in Mathematics, Vol. 1468, Springer-Verlag, Berlin, pp. 317-339.

  13. Goresky, N. and MacPherson, R.: Intersection homology theory I, Topology 19(1980), 135-162. II, Invent. Math. 72(1983), 77-129.

    Google Scholar 

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Lohoue, N. Stabilité de la Cohomologie LP au Voisinage de 2 pour les Espaces Localement Symétriques. Annals of Global Analysis and Geometry 16, 543–571 (1998). https://doi.org/10.1023/A:1006567324580

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  • DOI: https://doi.org/10.1023/A:1006567324580

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